7 hours 30 minutes
Sure hope this helps you :D
If Josephine alone can correct test papers in 5 hours and if she takes helps from an assistant takes 3 hours then time taken by assistant alone to try and do the full add 7.5 hours.
What is average?An average is basically total sum divided by number whose sum is found. Average= sum/n.
How to calculate time?Josephine takes 5 hours to correct her students test papers.
Josephine and assistant takes 3 hours to correct papers.
Let the test paper contains 100 questions.
In 1 hour Josephine checks 100/5 =20 questions per hour.
In 1 hour Josephine and Assistant checks 100/3=33.33 questions per hour.
In 1 hour assistant checks 33.33-20=13.33 questions.
Time taken by assistant to try to to work alone=100/13.33=7.5 hours.
Hence to try to to the work alone the assistant takes 7.5 hours.
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Please help
This diagram shows rectangular prism ABCDEFGH. Rectangle CDEF is formed by connecting
opposite edges CD and FE.
What is the area of rectangle CDEF? If necessary, round your answer to the nearest tenth.
Answer:
153 in^2
Step-by-step explanation:
To find the area of a rectangle, we can multiply the length and the width. The rectangle CDEF has length CF and width FE. We already know FE is the same as GH which is 9in. CF is the hypotenuse of right triangle FGC. Th legs are FG which is the same as EH, 8 and GC, which is the same as AE, 15. Using the pythagorean theorem, we can say that:
GC^2 + GF^2 = CF^2
64 + 225 = CF^2
CF^2 = 289
CF = 17
To find the rectangle's area, we multiply FE and CF to get 153 in^2
ANdy has some sweets. He gives on quator of them sweets to Dan. Dan eats five sweets and has one left. How many sweets did Andy start with
Answer: 24
Step-by-step explanation:
¼ of Andy's sweets = 5 + 1 with Dan
¼ of Andy's sweet is 6
Andy has 6×4 sweet
A spinner is divided into five colored sections that are not of equal size: red, blue,
green, yellow, and purple. The spinner is spun several times, and the results are
recorded below:
Spinner Results
Color | Frequency
Red
4
Blue
2
Green
10
Yellow
3
Purple
7
Based on these results, express the probability that the next spin will land on blue or
green or yellow as a fraction in simplest form.
Answer:
15/26
Step-by-step explanation:
3-yellow+10-green+2-blue=15
4-red+7-purple=11
11+15=26
help asap check picture
The remainder of the given expression will be 66.
What is division?Division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic.
The given polynomlal x⁴+3x³-6x²-12x-8 will be divided by x-3 so we need to find the remainder:-
x-3) x⁴+3x³-6x²-12x-8 ( x³-6x²+12x+24
x²-3x³
_______________
6x³-6x²-12x-8
6x³-18x²
________________________
12x²-12x-8
-12x²-36x
_____________________
24x-8
24x-72
_______________________
66
Hence the remainder of the given expression will be 66.
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Jim can run a mile in 5 minutes and 50 seconds, john can run a mile in 6 minutes and 40 seconds.
What is the ratio of Jim's time to John's time?
Jim's time is 5:50 and John's time is 6:40.
Question 5 (1 point)
What is the value of "b" in the following quadratic? (Make sure the equation is in
standard form: ax + bx +c= 0)
x^2 + 28 = -11x
Answer:
b = 11
Step-by-step explanation:
the standard form of a quadratic equation is ax² + bx + c = 0 ( a ≠ 0 )
given
x² + 28 = - 11x ( add 11x to both sides )
x² + 11x + 28 = 0 ← in standard form
with b = 11
Tina will use the number cube, the spinner, and the coin shown below in a game. The number cube has faces numbered 1 through 6. Tina will roll the cube, spin the spinner, and flip the coin one time each to form an outcome. How many unique outcomes where the number on the cube is greater than 4 are possible?
Answer:
2
Step-by-step explanation:
We dont know how many spinner slots there are so I assume 8.
to get greater than 4 you need the cube which has 6 sides. Only 5 and 6 are > 4. So 2.
Sorry if this is incorrect...
what is this inequalities?
5x ≥45
Answer:
≥ means equal or bigger.
So 5x should be equal or bigger than 45.
Which means x can be 9 or 10/11/12...
The formula below is used to convert a temperature in degrees Celsius, C to a temperature in degrees Fahrenheit, F
F = 1.8C + 32
The high temperature in a mountain city was 15 C. What was the high temperature in degrees Fahrenheit?
Mint Chocolate Chip
22%
Chocolate
1/4
Vanilla
0.37
Cookie Dough
4/25
= in order from least to greatest? h
An angle measures 130.8° more than the measure of its supplementary angle. What is the measure of each angle
Answer:
The angles are 24.6° and 155.4°
Step-by-step explanation:
Supplementary angles:Supplementary angles add up to 180°
Let the measure of the supplementary angle = x
So, the angle is 130.8 more than 'x'
The angle = x + 130.8
The angles are supplementary.
x + (x + 130.8) = 180
x + x + 130.8 = 180
2x + 130.8 = 180
2x = 180 - 130.8
2x = 49.2
x = 49.2/2
x = 24.6
x + 130.8 = 24.6 + 130.8
= 155.4
The angles are 24.6° and 155.4°
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[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
An angle measures 130.8º more than its supplementary angle. What is the measure of each angle?
[tex]\blue{\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]
Supplementary angles add up to 180º.
In order to find the unknown angles, we should first let the angle be x.
Set up an equation:-
(remember, there are 2 angles, x and x+130.8):-
x+x+130.8=180
Add the x's:-
2x+130.8=180
Subtract 130.8 from both sides:-
2x=49.2
Divide by 2 on both sides:-
x=24.6º
To find the other angle, add 130.8º:-
24.6+130.8=155.4º
Second angle=155.4º
Now, we need to make sure our solution is correct.
We can easily check it by adding both angles together and seeing whether or not we end up with 180:-
155.4+24.6=180
180=180
Since the left-hand side equals the right-hand side, our solution is indeed correct.
The angles are 24.6º and 155.4º
Good luck.
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A bag of marbles contains three blue,one black,and four yellow marbles.If two marbles are chosen at random without replacement,what is the probability that both marbles will be yellow?
The probability that both marbles chosen from the bag will be yellow is 3/14.
What is the probability?Probability determines the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that both marbles chosen from the bag will be yellow = (number of yellow marbles / total number of marbles) x (number of yellow marbles - 1/ total number of marbles - 1)
4/8 x 3/7 = 3/14
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Simplify the expression
Answer:
sin²x
Step-by-step explanation:
[tex]\frac{\tan \left(x\right)}{\tan \left(x\right)+\cot \left(x\right)}[/tex]
[tex]=\frac{\sin ^2\left(x\right)}{\cos ^2\left(x\right)+\sin ^2\left(x\right)}[/tex]
Rewrite using trigonometric identities
[tex]=\sin ^2\left(x\right)[/tex]
8 A clock in the shape of an hour glass is made up of two identical cones
connected at their vertices. The radius of each cone is 7 centimeters. The
combined height of the two cones is 11.8 centimeters. What is the volume
of the clock?
Jason made a long Role hy ipining three different lengths of cylindrical poles
Answer:
The two cones are aligned on edge to edge so that the total volume of the hourglass becomes 2∗13πr2h
Step-by-step explanation:
a) When the sand has y units left in the upper cone the height of the cone becomes y, the radius remains 1cm.Now let's take the right triangle In the upper coneAnd by similar triangles property we found that the radius of the cone in which the amount of sand is left is y3 unitsNow the volume of the sand in the remaining part of the upper cone isπy32y which gives πy327Now if we apply the same similar triangle property with the cone in the below we find that the radius of the part it has filled up remains the same as y3unitsSo the volume it has filled is (3-y) from the top cone which says that the volume filled on the bottom cone has a height of (3-y)So therefore the volume of the frustum which it has filled up isπ3h(R2+r2+rR) {Is the volume of the frustum with two radii r and R with a height h}i.eπ3(3−y)(12+(y/3)2+(y/3))So now the total volume of the hourglass in terms of y is π3(3−y)(12+(y/3)2+(y/3))+πy327b) The next question tells us that when the height of the sand in the below cone reaches up a height of h centimetreswhich is exactly 3-y in the previous questionso substituting y = h-3 in the previous question we'll find the volume of the hourglass in terms of hπ(h−3)327+π3(6−h)(12+((h−3)/3)2+((h−3)/3)) .c) Total volume of the hourglass isV=V1+V2⇒3π4=πy327+π−π27(3−h)3Putting h=1We have the value of y as⇒3π4=π27y3+π+π278..............(1)⇒y=(54)13Differentiating the first equation with respect to t we have0=π9y2dydt+π9(3−h)2dhdtPutting values that dydt=−0.14inches/sec at h =1 and for ⇒y=(54)13We have0=π9(54)132∗(−0.14)+π922dhdt⇒0.1956π9=4π9dhdt⇒dhdt=0.19564⇒dhdt=0.0489
what is 56.78 to one significant figure
Answer:
60.
Step-by-step explanation:
The second digit is 6, so we round up the first digit and add training zero. There is no need to add the '00' after the decimal point.
what’s the area and the perimeter and of the triangle?
Answer:
Perimeter: 26.43 m
Area: 27.99 sq m
Step-by-step explanation:
To find the perimeter we just add all the sides, 11.1+9.33+6 = 26.43
To find the area of a triangle, we use the formula we do (bh)/2
9.33 * 6 = 55.98
55.98 / 2 = 27.99
Hope this helped you! I would appreciate a Brainliest if this helped you a lot! Thank you, and have a good day!
Answer:
We first need to determine the perimeter of the triangle which is done by adding up all of the sides. When combining [tex]11.1\ m[/tex], [tex]9.33\ m[/tex], and [tex]6\ m[/tex] we get a final answer of [tex]26.43\ m[/tex] as the perimeter of the triangle.
The second part that we need to determine is the area of the triangle which is done by using [tex]A=\frac{1}{2}*b*h[/tex]. In this example our base is [tex]6\ m[/tex] and our height is [tex]9.33\ m[/tex]. So when inputting those values into our area equation, we get [tex]A=27.99\ m^2[/tex]
Hope this helps! Let me know if you have any questions
The graph below shows a company's profit f(x), in dollars, depending on the price of erasers x, in dollars, being sold by the company:
graph of quadratic function f of x having x intercepts at ordered pairs 0, 0 and 8, 0. The vertex is at 4, 270
Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit?
Part B: What is an approximate average rate of change of the graph from x = 1 to x = 4, and what does this rate represent?
Answer:
A. x-intercepts: prices at with profit is zero
maximum: price at which profit is a maximum
increasing: (-∞, 3); decreasing: (3, ∞) — profit increases with increasing pen price below $3, decreases with increasing pen price above $3
B. -26 2/3; loss of profit for each dollar increase in pen price
Step-by-step explanation:
Part A:
The definition of the function tells you what points on the graph represent. The x-intercept at x=0 tells you the company's profit will be zero when the price of pens sold by the company is zero.
The x-intercept at x=6 tells you the company's profit will be zero when the price of pens sold is $6.
The maximum value of 120 at x=3 tells you the company's profit will be $120 when the price of pens sold is $3.
The graph goes "uphill" for x < 3, so the function is increasing for x < 3. The function goes "downhill", so is decreasing, for x > 3. This tells you profit increases with pen price when the price is below $3, and decreases with pen price above $3.
__
Part B:
The equation of the function describing the graph is ...
f(x) = -120/9x(x -6)
so, at x=5, the value is ...
f(5) = -120/9(5)(-1) = 600/9 = 66 2/3
Then the average rate of change from x=3 to x=5 is ...
m = (f(5) -f(3))/(5 -3) = (66 2/3 -120)/2 = (-53 1/3)/2 = -26 2/3
This represents the average change in profit for each dollar increase in the price at which pens are sold.
Cones a and b are similar.
the surface area of cone a is 36cm2.
the surface area of cone b is 100cm2.
the volume of cone a is 162cm3.
work out the height,
h
, of cone a and the volume of cone b:
The height of cone A is 12 and the volume of cone B is 750
How to determine the height and the volume?The given parameters are:
Surface area of cone a is 36cm²Surface area of cone b is 100cm²Volume of cone a is 162cm³Both cones are similar.
The similarity ratio is represented as:
[tex](\frac{V_A}{V_B})^\frac 13 = (\frac{A_A}{A_B})^\frac 12 = \frac{h_A}{h_B}[/tex]
Where:
V represents volumeA represents surface areah represents heightRemove the height expression in the equation [tex](\frac{V_A}{V_B})^\frac 13 = (\frac{A_A}{A_B})^\frac 12 = \frac{h_A}{h_B}[/tex]
So, we have:
[tex](\frac{V_A}{V_B})^\frac 13 = (\frac{A_A}{A_B})^\frac 12[/tex]
This gives
[tex](\frac{162}{V_B})^\frac 13 = (\frac{36}{100})^\frac 12[/tex]
Evaluate the exponent of 1/2
[tex](\frac{162}{V_B})^\frac 13 = \frac{6}{10}[/tex]
Take the cube of both sides
[tex]\frac{162}{V_B} = \frac{216}{1000}[/tex]
Make VB the subject
[tex]V_B = \frac{162 * 1000}{216}[/tex]
Evaluate
[tex]V_B = 750[/tex]
Remove the area expression in the equation [tex](\frac{V_A}{V_B})^\frac 13 = (\frac{A_A}{A_B})^\frac 12 = \frac{h_A}{h_B}[/tex]
[tex](\frac{V_A}{V_B})^\frac 13 = \frac{h_A}{h_B}[/tex]
Substitute known values
[tex](\frac{162}{750})^\frac 13 = \frac{h_A}{20}[/tex]
Multiply both sides by 20
[tex]h_A = 20 *(\frac{162}{750})^\frac 13[/tex]
Evaluate
[tex]h_A= 12[/tex]
Hence, the height of cone A is 12 and the volume of cone B is 750
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An airplane makes a round-trip supply run that takes a total of 6 hours and is 350 miles each direction. The air current going to the destination is in the direction of the plane at 20 miles per hour. The air current traveling back to the starting point is against the plane at 20 miles per hour. Let x represent the speed of the airplane, in miles per hour, when there is no wind. Replace the values of a, b and c to create the equation that describes this situation.
The equation that represents this situation (x + 20)b = 350, (x - 20)c = 350 and b + c = 6
What is an equation?
An equation is an expression that shows the relationship between two or more number and variables.
Let x represent the speed of the airplane, in miles per hour, when there is no wind, b represent the time spent going and c represent the time spent travelling back. Hence:
(x + 20)b = 350 (1)
Also:
(x - 20)c = 350 (2)
b + c = 6 (3)
The equation that represents this situation (x + 20)b = 350, (x - 20)c = 350 and b + c = 6
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Answer:
The answer is below!
Step-by-step explanation:
which pair of sides in this shape are parallel
The side AE and side CD are parallel to each other because they will never intersect to each other.
What is a regular polygon?A polygon is a two-dimensional geometric figure having a finite number of sides. Straight-line segments are linked end to end to make a closed shape on the sides or edges of a polygon. The vertices or corners are the spots where two line segments intersect, resulting in an angle.
As we know, the parallel lines never intersect to each other, they go infinitely without crossing each other.
As we can see in the figure (refer to the attached picture)
Line AE and CD are parallel to each.
Thus, the side AE and side CD are parallel to each other because they will never intersect to each other.
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Liquid A has a density of 1.2 g/cm^3
150 cm^3 of Liquid A is mixed with some of Liquid B to make Liquid C.
Liquid C has a mass of 220 g and a density of 1.1 g/cm
Find the density of Liquid B.
Answer:
0.8g/cm³
Step-by-step explanation:
1.2g/cm³*150cm³=180g
180g+x=220g
x=40g
220/1.1=200
150cm³+y=200cm³
y=50cm³
40g/50cm³=0.8g/cm³
Find the surface area
Answer:
A≈316.99
Step-by-step explanation:
Use formula A=πrl+πr² and l=√r²+h²
Plug in . .
A = π·6·(6+√9²+6²)≈316.98646RoundA≈316.99
Suppose Josh Borrows $2000 at an interest rate of 3% compounded each year. Assume that no payments are made on the loan.
Do not do any rounding.
(A) Find the amount owed at the end of year 1.
(B) Find the amount owed at the end of 2 years.
Answer:
a)2975
b)3450
Step-by-step explanation:
What is the range of the graphed function?
{x |-2 < x < 2}
{y |-2 < y < 2}
{x | x is a real number}
{y | y is a real number}
Answer:
{y| y is a real number}
Step-by-step explanation:
The range is all the y's that an equation can produce or all the y's on a graph of the function.
This graph has every and any real y (because it keeps going forever, even off the screen or paper) It's a little hard to see, bc we just see it going left and right mostly, but it is also slightly going up (to the left) and down (to the right)
Three times x decreased by four is 17.
What is x?
The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0
Answer:
B, C, E
Step-by-step explanation:
A: False
B: True
C: True
D: False
E: True
Help:
[tex]1.\ &x^4-61x^2+900=0 \\ 2. \ & x^4-25x^2+144=0[/tex]
[tex]\bf{1) \ x^4-61x^2+900=0 }[/tex]
Applying the factorization method, for example:
[tex]\bf{ 0=(x^2)^2-61(x^2)+900=(x^2-36)(x^2-25)}[/tex]
[tex]\bf{\\ &=(x+6)(x-6)(x+5)(x-5); }[/tex]
[tex]\bf{ x_1=6 \quad x_2=-6 \quad \ \ \ x_3=5 \quad x_4=5 }[/tex]
[tex]\bf{2) \ x^4-25x^2+144=0 }[/tex]
Applying the factorization method:
[tex]\bf{0&=(x^2)^2-25(x^2)+144=(x^2-16)(x^2-9) }[/tex]
[tex]\bf{ =(x-4)(x+4)(x-3)(x+3); }[/tex]
[tex]\bf{ x_1=4 \quad x_2=-4 \quad x_3=3 \quad x_4=-3 }[/tex]
HELP ASAP NEED ANSWER
How Many one- third cups servings are in 9 cups of pecans
answer: 27
Step-by-step explanation:
there are 3 1/3s in a cup so basically you are taking 3x9 (or 3+3+3+3+3+3+3+3+3) which equals 27
this box can be packed with 48 unit cubes. The edge length of each unit cube is 1 meter. What is the volume of the box?
Answer:
48 m^3
Step-by-step explanation:
along the length = 8 cubes = 8 m
breadth = 3 cubes = 3 m
height = 2 cubes = 2 m
volume = 48 m^3